 | Euclid - Mathematics, Greek - 1908 - 456 pages
...that straight line is said to be at a greater distance on which the greater perpendicular falls. 6. A segment of a circle is the figure contained by a straight line and a circumference of a circle. 7. An angle of a segment is that contained by a straight line and a circumference... | |
 | A. Herring-Shaw - 1910 - 288 pages
...right angles to this line touching the circumference is called a Tangent to the circle. Def. 17. — A Segment of a circle is the figure contained by a straight line and the portion of the circumference which it cuts off. Def. 18. — An Arc is a portion of the circumference... | |
 | David Eugene Smith - Geometry - 1911 - 370 pages
...greater perpendicular falls. Such a definition is not thought essential at the present time. 6. SEGMENT. A segment of a circle is the figure contained by a straight line and the circumference of a circle. The word " segment " is from the Latin root sect, meaning " cut." So we... | |
 | Calvin Franklin Swingle - Steam engineering - 1913 - 1270 pages
...contained by a diameter and that part of the circumference cut off by a diameter as AHC in Fig. 45. A segment of a circle is the figure contained by a straight line and the circumference which it cuts off, as DHE in Fig. 45. A sector of a circle is the figure contained by... | |
 | Reviel Netz - History - 2003 - 356 pages
...Greeks seem strangely content with definitions falling short of this ideal. t. Elements In. Def. 6: 'A segment of a circle is the figure contained by a straight line and a circumference of a circle'." I have stressed the article. It shows that the segment is supposed to... | |
 | R. H. Warn, John G. Horner - Crafts & Hobbies - 2002 - 292 pages
...contained by a diameter, and the part of the circumference cut off by the diameter (Fig. 4, AGB). 17. A segment of a circle is the figure contained by a straight line, and the circumference -which it cuts off (Fig. 4, EGF) 18. Rectilineal figures are those which are contained... | |
 | Euclid - Literary Collections - 2003 - 276 pages
...definition; the same holds for 7 and 8. - Segments, тоpата, are defined in Elements III. Def. 6, A segment of a circle is the figure contained by a straight line (the Ъаве') and an arc of a circle. In def. 7 and 8 Euclid considers circles to be areas (as in... | |
 | Popular educator - 1860 - 424 pages
...No. XIL LECTURES ON EUCLID. E-KVINITIONS. BOOK I. FUOM XIX. то XXXV. INCLUSIVE. XIX. [A siinia'iit of a 'circle is the figure contained by a straight line, and the part of the circumference it cuts off.] This definition is repeated in Book III. Definition VI. XX. Rectilineal [or, rectilinear,... | |
 | Euclid - 452 pages
...that straight line is said to be at a greater distance on which the greater perpendicular falls. 6. A segment of a circle is the figure contained by a straight line and a circumference of a circle. 7. An angle of a segment is that contained by a straight line and a circumference... | |
 | Peter M. Engelfriet - Mathematics - 1998 - 516 pages
..."measure" here. Note also the interesting use of xia ~F as a verb: "drop [ a perpendicular]". Heath [6]: A segment of a circle is the figure contained by a straight line and a circumference of a circle. (always, the figure of a straight line cutting a circle is a "circle part")... | |
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A segment of a circle, is the figure contained by a straight line and the circumference which it cuts off. 
